Zobrazeno 1 - 10
of 469
pro vyhledávání: '"Goryainov, A. P."'
Autor:
Bhowmik, Anwita, Goryainov, Sergey
In this paper we construct two new infinite families of divisible design graphs based on symplectic graphs over rings with precisely three ideals.
Externí odkaz:
http://arxiv.org/abs/2412.04962
Autor:
Goryainov, Sergey, Krotov, Denis
In Cayley graphs on the additive group of a small vector space over GF$(q)$, $q=2,3$, we look for completely regular (CR) codes whose parameters are new in Hamming graphs over the same field. The existence of a CR code in such Cayley graph $G$ implie
Externí odkaz:
http://arxiv.org/abs/2411.09698
There is a conjecture that the second largest maximal cliques in Paley graphs of square order $P(q^2)$ have size $\frac{q+\epsilon}{2}$, where $q \equiv \epsilon \pmod 4$, and split into two orbits under the full group of automorphisms whenever $q \g
Externí odkaz:
http://arxiv.org/abs/2410.04024
In this paper we show the tightness of the weight-distribution bound for the positive non-principle eigenvalue of strongly regular (affine) polar graphs and characterise the optimal eigenfunctions. Additionally, we show the tightness of the weight-di
Externí odkaz:
http://arxiv.org/abs/2407.02780
A divisible design graph is a graph whose adjacency matrix is an incidence matrix of a (group) divisible design. Divisible design graphs were introduced in 2011 as a generalization of $(v,k,\lambda)$-graphs. Here we describe four new infinite familie
Externí odkaz:
http://arxiv.org/abs/2404.09902
In this note we answer positively a question of Chris Godsil and Karen Meagher on the existence of a 2-design whose block graph has a non-canonical maximum clique without a design structure.
Externí odkaz:
http://arxiv.org/abs/2311.01190
Autor:
Goryainov, Sergey, Panasenko, Dmitry
This paper lies in the context of the studies of eigenfunctions of graphs having minimum cardinality of support. One of the tools is the weight-distribution bound, a lower bound on the cardinality of support of an eigenfunction of a distance-regular
Externí odkaz:
http://arxiv.org/abs/2310.10334
Publikováno v:
Радиационная гигиена, Vol 17, Iss 3, Pp 16-28 (2024)
The publication continues the series of research addressed to the dynamics of 137Cs concentrations in agricultural products after the Chernobyl accident. The purpose of the present paper was to analyze the data describing the changes of 137Cs concent
Externí odkaz:
https://doaj.org/article/017399d3d1c343688b87b8242b86494d
Autor:
Goryainov, Sergey, Yip, Chi Hoi
Publikováno v:
J. Combin. Theory Ser. A 206 (2024), Paper No. 105887, 42pp
It is known that Paley graphs of square order have the strict-EKR property, that is, all maximum cliques are canonical cliques. Peisert-type graphs are natural generalizations of Paley graphs and some of them also have the strict-EKR property. Given
Externí odkaz:
http://arxiv.org/abs/2306.00391
We finish the classification of equitable 2-partitions of the Johnson graphs of diameter 3, $J(n,3)$, for $n>10$.
Externí odkaz:
http://arxiv.org/abs/2206.15341